Strong and weak convergence of the population size in a supercritical catalytic branching process

DOI10.1134/S1064562415060228zbMath1336.60166arXiv1506.05820OpenAlexW3098316063MaRDI QIDQ265975

Ekaterina Vladimirovna Bulinskaya

Publication date: 13 April 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05820

zbMATH Keywords

strong convergenceweak convergencepopulation sizesupercritical catalytic branching processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Catalytic branching random walk with semi-exponential increments ⋮ First hitting time of a high level by a catalytic branching walk ⋮ Spread of a catalytic branching random walk on a multidimensional lattice ⋮ On the maximal displacement of catalytic branching random walk ⋮ Maximum of catalytic branching random walk with regularly varying tails ⋮ Fluctuations of the Propagation Front of a Catalytic Branching Walk ⋮ Maximum of a catalytic branching random walk ⋮ Galton-Watson processes in varying environment and accessibility percolation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local particles numbers in critical branching random walk
• The supercritical multitype age-dependent branching process
• Spectral properties of evolutionary operators in branching random walk models
• Branching Brownian motion with catalytic branching at the origin
• Finiteness of hitting times under taboo
• The spread of a catalytic branching random walk
• A multidimensional age-dependent branching process with applications to natural selection. II
• Catalytic Branching Processes via Spine Techniques and Renewal Theory
• Catalytic branching random walks in ℤ d with branching at the origin
• Asymptotics of branching symmetric random walk on the lattice with a single source
• Strong Local Survival of Branching Random Walks is Not Monotone

This page was built for publication: Strong and weak convergence of the population size in a supercritical catalytic branching process